Structural Engineering and Mechanics

  • 제23권6호
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  • Pages.599-613
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  • 2006
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

A dynamical stochastic finite element method based on the moment equation approach for the analysis of linear and nonlinear uncertain structures

  • 투고 : 2004.12.28
  • 심사 : 2006.04.17
  • 발행 : 2006.08.20
⟨ 이전 논문 다음 논문 ⟩

초록

A method for the dynamical analysis of FE discretized uncertain linear and nonlinear structures is presented. This method is based on the moment equation approach, for which the differential equations governing the response first and second-order statistical moments must be solved. It is shown that they require the cross-moments between the response and the random variables characterizing the structural uncertainties, whose governing equations determine an infinite hierarchy. As a consequence, a closure scheme must be applied even if the structure is linear. In this sense the proposed approach is approximated even for the linear system. For nonlinear systems the closure schemes are also necessary in order to treat the nonlinearities. The complete set of equations obtained by this procedure is shown to be linear if the structure is linear. The application of this procedure to some simple examples has shown its high level of accuracy, if compared with other classical approaches, such as the perturbation method, even for low levels of closures.

키워드

참고문헌

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피인용 문헌

  1. The stochastic finite element method: Past, present and future vol.198, pp.9-12, 2009, https://doi.org/10.1016/j.cma.2008.11.007
  2. A Partition Expansion Method for Nonlinear Response Analysis of Stochastic Dynamic Systems With Local Nonlinearity vol.8, pp.3, 2013, https://doi.org/10.1115/1.4023163
  3. The finite element method for the reliability analysis of lining structures based on Monte Carlo stochastic vol.20, pp.4, 2017, https://doi.org/10.1007/s10586-017-1073-3
  4. Uncertainty propagation of heat conduction problem with multiple random inputs vol.99, 2016, https://doi.org/10.1016/j.ijheatmasstransfer.2016.03.094